Form 1 Mathematics
a) A trader deals in two types of rice; type A and with 50 bags of type B. If
he sells the mixture at a profit of 20%, calculate the selling price of one bag of the mixture. b) The trader now mixes type A with type B in the ratio x: y respectively. If the cost of the mixture is Ksh 383.50 per bag, find the ratio x: y. c) The trader mixes one bag of the mixture in part (a) with one bag of the mixture in part (b). Calculate the ratio of type A rice to type B rice in this mixture.
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Form 1 Mathematics
a) The ratio of Juma's and Akinyi's earnings was 5:3 Juma's earnings rose to Ksh 8400 after an increase of 12%.
Calculate the percentage increase in Akinyi's earnings given that the sum of their new earnings was Ksh. 14100. b) Juma and Akinyi contributed all the new earnings to buy maize at Ksh 1175 per bag. The maize was then sold at Ksh 1762.50 per bag. The two shared all the money from the sales of the maize in the ratio of their contributions. Calculate the amount that Akinyi got.
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Form 1 Mathematics
A carpenter wishes to make a ladder with 15 cross- pieces. The cross- pieces are to diminish uniformly in length from 67 cm at the bottom to 32 cm at the top.
Calculate the length in cm, of the seventh cross- piece from the bottom
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Form 1 Mathematics
Three business partners: Asha Nangila and Cherop contributed Kshs 60,000, Kshs 85,000 and Kshs 105 000 respectively. They agreed to put 25% of the profit back into business each year. Thay also agreed to put aside 40% of the remaining profit to cater for taxes and insurance. The rest of the profit would then be shared among the partners in the ration of their contributions. At the end of the first year, the business realized a gross profit of Kshs 225 000
(a) Calculate the amount of money Cherop received more than Asha at the end of the first year (b) Nangila further invested Kshs 25,000 into the business at the beginning of the second year. Given that the gross profit at the end of the second year increased in the ratio 10: 9, calculate Nangila's share of the profit at the end of the second year.
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​Related Questions and Answers on Commercial Arithmetic I
Form 1 Mathematics
In fourteen years time, a mother will be twice as old as her son. Four years ago, the sum of their ages was 30 years. Find how old the mother was, when the son was born.
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Form 1 Mathematics
A solution whose volume is 80 litres is made 40% of water and 60% of alcohol. When litres of water are added, the percentage of alcohol drops to 40%
(a) Find the value of x (b) Thirty litres of water is added to the new solution. Calculate the percentage (c) If 5 litres of the solution in (b) is added to 2 litres of the original solution, calculate in the simplest form, the ratio of water to that of alcohol in the resulting solution
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Form 1 MathematicsThree people Odawa, Mliwa and Amina contributed money to purchase a flour mill. Odawa contributed ⅓ of the total amount, Mliwa contributed ⅜ of the remaining amount and Amina contributed the rest of the money. The difference in contribution between Mliwa and Amina was sh.40,000. Calculate the price of the flour mill.
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Form 1 Mathematics
Akinyi, Bundi, Cura, and Diba invested some money on a business in the ratio of 7 : 9 : 10 : 1 respectively. The business realized a profit of Kshs 46,800. They shared 12% of the profit equally and the remainder in the ratio of their contributions.
Calculate the total amount received by Diba
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The mass of a mixture A of beans and maize is 72 kg. The ratio of beans to maize is 3:5 respectively
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Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1​A triangle plot of land ABC is such that AB= 34 m, AC=66m and ∠BAC = 96.70
ANSWER
 ABC is a triangle and P is on AB such that P divides AB internally in the ratio 4:3. Q is a point on AC such that PQ is parallel to BC. If AC = 14 cm
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A fruiterer bought 144 pineapples at Kshs 100 for every six pineapples. She sold some of them at Kshs. 72 for every three and the rest at Kshs 60 for every two. If she made a 65% profit, calculate the number of pineapples sold at Kshs 72 for every three ( 3 marks)MARKING SCHEME
A manufacture of jam has 720 kg of strawberry syrup and 800 kg of mango syrup for making two types of jam, grade A and B. Each types is made by mixing strawberry and mango syrups as follows:
MARKING SCHEME
Akinyi bought maize and beans from a wholesaler. She then mixed the maize and beans the ratio 4:3 she bought the maize as Kshs. 12 per kg and the beans Kshs. 4 per kg. If she was to make a profit of 30% what should be the selling price of 1 kg of the mixture?( 4 marks) answers
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